A wheel with a moment of inertia of 0.60 kg m² turns at 450 rpm…

For rotation about a fixed axis: $\tau = I\alpha$, kinetic energy $\tfrac12 I\omega^2$, work $\tau\theta$, power $\tau\omega$. A rope on a wheel links the two motions: $a = \alpha R$.

For rotation with steady angular acceleration: $\omega = \omega_0 + \alpha t$, $\theta = \omega_0t + \tfrac12\alpha t^2$, $\omega^2 = \omega_0^2 + 2\alpha\theta$, with angles in radians ($1\ \text{rev} = 2\pi\ \text{rad}$). A point at radius $r$ has $v = \omega r$, tangential acceleration $\alpha r$ and centripetal acceleration $\omega^2 r$.